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Extrapolation of power series by self-similar factor and root approximants

Yukalov, V. I. ; Gluzman, S.

Int. J. Mod. Phys. B 18 (2004) 3027-3046 [Periódico revisado por pares]

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  • Título:
    Extrapolation of power series by self-similar factor and root approximants
  • Autor: Yukalov, V. I. ; Gluzman, S.
  • Assuntos: Condensed Matter - Statistical Mechanics
  • É parte de: Int. J. Mod. Phys. B 18 (2004) 3027-3046
  • Descrição: The problem of extrapolating the series in powers of small variables to the region of large variables is addressed. Such a problem is typical of quantum theory and statistical physics. A method of extrapolation is developed based on self-similar factor and root approximants, suggested earlier by the authors. It is shown that these approximants and their combinations can effectively extrapolate power series to the region of large variables, even up to infinity. Several examples from quantum and statistical mechanics are analysed, illustrating the approach. Comment: 21 pages, Latex file

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